| Base | Representation |
|---|---|
| bin | 10110110101100… |
| … | …100001111000000 |
| 3 | 222200221120101000 |
| 4 | 112311210033000 |
| 5 | 1241041001200 |
| 6 | 102004012000 |
| 7 | 12331433400 |
| oct | 2665441700 |
| 9 | 880846330 |
| 10 | 383140800 |
| 11 | 187300399 |
| 12 | a8391000 |
| 13 | 614ba943 |
| 14 | 38c56800 |
| 15 | 23983300 |
| hex | 16d643c0 |
383140800 has 504 divisors, whose sum is σ = 1633697520. Its totient is φ = 87091200.
The previous prime is 383140799. The next prime is 383140801. The reversal of 383140800 is 8041383.
It is an interprime number because it is at equal distance from previous prime (383140799) and next prime (383140801).
It is a tau number, because it is divible by the number of its divisors (504).
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (383140801) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2116710 + ... + 2116890.
Almost surely, 2383140800 is an apocalyptic number.
383140800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 383140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816848760).
383140800 is an abundant number, since it is smaller than the sum of its proper divisors (1250556720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
383140800 is a wasteful number, since it uses less digits than its factorization.
383140800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 226 (or 198 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 27.
The square root of 383140800 is about 19573.9827321882. The cubic root of 383140800 is about 726.3057246640.
The spelling of 383140800 in words is "three hundred eighty-three million, one hundred forty thousand, eight hundred".
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